Simplify Square Root of 67937

What is the square root of 67937 in its simplest radical form? To be more specific, we have created an illustration below showing what we want to calculate. Our goal is to make "A" outside the radical (√) as large as possible, and "B" inside the radical (√) as small as possible.

√67937 = A√B

Unfortunately, the square root of 67937 cannot be simplified. Thus, here is the answer to the square root of 67937 in its simplest form:

√ 67937 = √ 67937

Here are two different methods we used to determine why the square root of 67937 cannot be simplified.

1) To be able to simplify the square root of 67937, one of the factors of 67937 other than 1 must be a perfect square. The factors of 67937 are 1, 41, 1657, and 67937. Since none of these factors are perfect squares, the square root of 67937 cannot be simplified.

2) To be able to simplify the square root of 67937, all the prime factors of 67937 cannot be unique. When we did prime factorization of 67937, we found that 41 x 1657 equals 67937. Since all the prime factors are unique, the square root of 67937 cannot be simplified.

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